Vocabulary
Quadratic Functions In Vertex Form
Quadratic Functions in Standard Form
Modeling With Quadratic Functions
Linear, Exponential, and Quadratic Functions
100
This is what the curve of a function on a graph is called.
What is a Parabola?
100
The Axis of Symmetry of the equation f(x)=-2(x-1)2+3.
What is x=1
100
The Y-Intercept of the equation f(x)= -3x2-6x-5
What is (0,-5)
100
The initial height of the given equation
h(t) = -16t2+23t+42
What is 42 ft
100
The rate of change in the f(x) value
What is F(x)=3.2
200
The X value of a vertex in a quadratic function is this.
What is a Axis Of Symmetry?
200
Vertex of the equation f(x) = 2(x+1)2+4
What is (-1,4)
200
What is the axis of symmetry for the given equation
f(x) = 0.25x2-0.5x-6
What is x=1
200
The axis of symmetry for the given equation
h(t) = -16t2+16t+30
What is x=1/2
200
The given equation is an example of what function
f(x)=x2-4x+5
What is a Quadratic Function
300
The equation f(x)= Ax2+bx+c is this type of form of a quadratic function.
What is Standard Form of a Quadratic Function?
300
The vertex form of this graph when a is equal to 1
What is (13,6)
300
A water balloon is thrown into the air. The maximum height of the function h(x)=-0.5(x-4)2+9. This function gives the height, in feet, of the balloon from the surface of a pool as a function of the balloon's horizontal distance from where it was first tossed.
What is 9 feet
300
The initial height is 20 ft. The initial velocity is 32 ft. Convert these measurements into the vertical motion model form.
What is h(t) = -16t2+32t+20
300
This type of function grows or decays over time without stopping
What is an Exponential Function
400
The equation f(x)= A(x-h)2+k is the form of this type of quadratic function.
What is Vertex Form of a Quadratic Function?
400
The vertex and axis of symmetry of the equation f(x)=(x-7)2+5
What is (7,5) and x=7
400
The standard from of this graph
What is f(x)=-0.5x2+2x+3
400
The total value of the equation f(x) =2x2+24x+64 where x is 15.
What is 874
400
The given graph is what type of function
What is a Linear Function
500
The equation h(t) = -16t2 + v0t + h0 is this type of quadratic function?
What is a vertical motion model?
500
The ball is thrown from a height of 6 ft above the ground. After 1 second, the ball reaches it's maximum height of 22 ft above the ground. Write the equation of the function in vertex form.
What is Y= -16(x-1)2 + 22?
500
Convert the given equation into standard form
f(x)=-0.5(x-2)2+8.
What is f(x) = -0.5x2+2x+6
500
A kid uses h(t)=-16t2+6t+16 to determine the height oh a ball t seconds after it is thrown at an initial velocity of 16 ft/s from an initial height of 6 ft. Describe the error Chen made.
The initial velocity and initial height was swapped around.
500
The average rate of change of a function is less from x=1 to x=4 than from x=5 to x=8. What type of function could this be.
What is an Exponential Function